Question

Integrate this Expression

Answer 1

\[\int\limits_{0}^{∞} t ^{-1/2}e ^{t+t^1985(t+t^(-1)}\]

Answer 2

\[t ^{1985}\]

t to the power of 1985 if it seems unclear

Answer 3

The e part should read as" e to the power of 1985 times t + (t to the power of -1)"

Answer 4

dt of course

Answer 5

\[\large \int\limits\limits_{0}^{∞} t ^{\frac{-1}{2}} \cdot e ^{1985(t+t^{-1})}\]

Is it ?

Answer 6

Yes, exactly and the dt as well

Answer 7

It is so simple that @mukushla and @UnkleRhaukus can easily help you..

Ha ha ha..

Answer 8

Any ideas so far?

Answer 9

\[\Gamma\]

Answer 10

worth to try...but i know this
46th Putnam 1985

Answer 11

Yeh I am also thinking of Gamma Functions here..

Answer 12

Yes, but I do not have the solutions

Answer 13

may i provide link?

Answer 14

Yes please

Answer 15

http://mks.mff.cuni.cz/kalva/putnam/psoln/psol8511.html

Answer 16

Thank you, I wish I could give all of you medals for your hard work.

Answer 17

another method

Answer 18

I think I worked hard in explaining what the actual question is..

Ha ha ha..

Answer 19

lol....deserve a medal

Answer 20

Ha ha ha..

You also..

Afterall, you gave two methods to solve that..

Answer 21

*to solve my hard work..

Ha ha ha..